KMS Of Academy of mathematics and systems sciences, CAS
| Automorphism groups of Weyl-type algebras | |
| Lu, RC; Zhao, KM | |
| 2002-02-01 | |
| Source Publication | MANUSCRIPTA MATHEMATICA
 |
| ISSN | 0025-2611 |
| Volume | 107Issue:2Pages:207-214 |
| Abstract | Let F be a field of characteristic 0, x(1), x(2),..., x(n) be n commuting variables over F, and F(x(1), x(2),..., x(n)) be the field of all rational functions. Let D = +(n)(i=1) Fx(i) partial derivative/partial derivativex(i). We have the simple Weyl type algebra A = F(x(1), x(2),..., x(n))[D]. In this paper, the automorphism group Aut A of the associative algebra A and the automorphism group AutA(L) of the Lie algebra A(L) are determined, and it is proved that Aut A(L) = Z(2) x Aut A. |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000174815300005 |
| Publisher | SPRINGER-VERLAG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/17778 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Lu, RC |
| Affiliation | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| Recommended Citation GB/T 7714 | Lu, RC,Zhao, KM. Automorphism groups of Weyl-type algebras[J]. MANUSCRIPTA MATHEMATICA,2002,107(2):207-214. |
| APA | Lu, RC,&Zhao, KM.(2002).Automorphism groups of Weyl-type algebras.MANUSCRIPTA MATHEMATICA,107(2),207-214. |
| MLA | Lu, RC,et al."Automorphism groups of Weyl-type algebras".MANUSCRIPTA MATHEMATICA 107.2(2002):207-214. |
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